Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Concept Check - Page 709: 1

Answer

a) See the explanation b) See the explanation.

Work Step by Step

a) A parametric curve is known to be parameterized in the plane if a pair of the coordinates on the curve (let us say $(x,y)$) are shown as the functions of a variable $t$. b) Let us take a curve with function $(x,y)$ represented as $x=a(t),y=b(t)$, where $t$ is a variable ; $t \in N$ (N=real numbers). Plot the points on the curve by calculating the values of $a(t)$ and $b(t)$ (as x,y pairs).
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